Structure of the Ndc80 complex and its interactions at the yeast kinetochore–microtubule interface

The conserved Ndc80 kinetochore complex, Ndc80c, is the principal link between mitotic spindle microtubules and centromere-associated proteins. We used AlphaFold 2 (AF2) to obtain predictions of the Ndc80 'loop' structure and of the Ndc80 : Nuf2 globular head domains that interact with the Dam1 subunit of the heterodecameric DASH/Dam1 complex (Dam1c). The predictions guided design of crystallizable constructs, with structures close to the predicted ones. The Ndc80 'loop' is a stiff, α-helical 'switchback' structure; AF2 predictions and positions of preferential cleavage sites indicate that flexibility within the long Ndc80c rod occurs instead at a hinge closer to the globular head. Conserved stretches of the Dam1 C terminus bind Ndc80c such that phosphorylation of Dam1 serine residues 257, 265 and 292 by the mitotic kinase Ipl1/Aurora B can release this contact during error correction of mis-attached kinetochores. We integrate the structural results presented here into our current molecular model of the kinetochore-microtubule interface. The model illustrates how multiple interactions between Ndc80c, DASH/Dam1c and the microtubule lattice stabilize kinetochore attachments.


Introduction
Kinetochores, essential components of the chromosome segregation machinery, connect centromeres to the mitotic spindle. The bridge between centromereassociated kinetochore assemblies and spindle microtubules is the Ndc80 complex (Ndc80c), a heterotetramer, conserved from yeast to mammals, with globular elements at both ends of an approximately 600 Å long, largely α-helical coiled-coil shaft (figure 1) [2][3][4]. Closely paired calponin homology (CH) domains of Ndc80 and Nuf2 at one end, augmented by a flexible, N-terminal extension of Ndc80, form a microtubule-attachment module [5][6][7]. Tightly associated RWD domains of Spc24 and Spc25 at the other end bind adaptor proteins emanating from centromere-bound, kinetochore components [8][9][10][11]. The coiledcoil shaft of Ndc80 : Nuf2 has two specializations-a kink or hinge at about 160 Å from the globular end [3] and a so-called 'loop' at about 240 Å. The latter structure is effectively an insertion of approximately 50-80 residues into Ndc80 opposite a continuous helix in Nuf2 [12]. The shafts of the two heterodimeric components-Ndc80 : Nuf2 and Spc24 : Spc25-meet in an overlapping, fourway junction, or tetramerization domain, included in the crystal structure of a shortened, 'dwarf' Ndc80c [13].
In yeast, several additional kinetochore components bind at various positions along the Ndc80c. At least three interactions involve subunits of the DASH/Dam1 complex (Dam1c, consisting of Ask1, Dad1, Dad2, Dad3, Dad4, Dam1, Duo1, Hsk3, Spc19 and Spc34) [14][15][16], which coordinates end-on attachment of multiple Ndc80c rods around the splayed plus end of a kinetochore microtubule [17]. A fourth contacting component is the microtubule polymerase, Stu2 [18]. Figure 1 shows positions of the DASH/Dam1c interactions, as mapped by genetic and biochemical studies including mass spectrometric analysis of cross-linked peptides [1,17,19]. The Dam1 subunit binds at the base of the Ndc80 : Nuf2 globular 'head', Ask1 along the shaft between the globular head and the hinge, and Spc19 : Spc34 between the loop and the four-way junction, respectively. All these interactions between Ndc80c and DASH/Dam1c are regulated by phosphorylation of certain serine or threonine residues [19,20]. The Stu2 interaction, visualized by X-ray crystallography, is with the four-way junction [21].
Budding yeast kinetochores first attach to the lateral surface of spindle microtubules [22]. This initial capture must convert to end-on attachment to produce a structure that can track with microtubule shortening and bear the load thereby generated [23,24]. The conversion occurs when the end of a disassembling microtubule reaches the laterally attached kinetochore [22,25,26]. The DASH/Dam1c ring is dispensable for lateral capture but essential for conversion to end-on capture [26]. Deletions and certain mutations in the Ndc80 loop block this conversion [27]. The microtubule polymerase, Stu2, also appears to have a role [18,26]. As steps towards working out the molecular events in conversion from lateral to end-on attachment, we have extended our previous studies of the Stu2 interaction at the Ndc80c four-way junction [21] by determining crystal structures of the Ndc80 loop and of the Dam1 association at the base of the Ndc80 : Nuf2 globular head. The latter structure explains why phosphorylation of Dam1 serine residues 257, 265 and 292 by Ipl1/AuroraB inhibits attachment [20,[28][29][30][31]. We compare the new structures with the AlphaFold 2 (AF2) [32] predictions that motivated design of the constructs we used. We also show that the AF2 prediction of the Ndc80c's hinge point agrees with the position of selective proteolytic sensitivity described in our early studies of Ndc80c architecture [2].

The Ndc80 loop region is a rigid switchback structure
Ndc80 amino acid sequences across the region that contains the loop align well for a set of budding yeasts (figure 2a) and also for a representative set of metazoans (figure 2b), but the sequences align poorly between those two groups (electronic supplementary material, data S1-S4). Structure predictions from multi-chain AF2 for segments of Ndc80 : Nuf2 that include the loop and flanking sequences are thus, as expected, very similar across the budding yeasts and across metazoans, and overall quite similar between those two groups, but distinct in some local features ( figure 2c). An essentially identical prediction has motivated recent functional studies for the human Ndc80 loop by another group, as discussed at the end of this paper [33]. Both sequences and predicted structures for fission yeast (Schizosaccharomyces pombe) and fungi in families other than Saccharomycetaceae align, in predicted structure and in sequence, with the metazoans (figure 2b and c). We expressed segments of both the yeast and human Ndc80 polypeptide chains and the respective paired segments (from the prediction) of Nuf2. We obtained crystals of the human complex in space group C 2 (a = 49.9 Å, b = 72.3 Å, c = 80.1 Å, β = 98.56°). From merged datasets that extended to a minimum Bragg spacing of 2.0 Å, we determined the structure by molecular replacement with a four-part model based on the AF2 prediction (see Materials and Methods for details and for controls to eliminate model bias, electronic supplementary material, table S1 for data and refinement statistics, and electronic supplementary material, figure S1 for representative density maps). The final model (figure 2d) agrees well with the predicted structure (electronic supplementary material, figure S2), consistent with the strength and robustness of the molecular replacement calculations. Both the structure and the AF2 prediction show that the 'loop' is in fact an α-helical 'switchback', in which the helix entering the loop from the N-terminal side continues beyond its pairing with Nuf2, reverses direction into a segment with a partly disordered loop (using 'loop' in the stricter sense) as it turns back into an α helix, which continues into the region paired again with Nuf2. The Nuf2 chain is a continuous helix opposite the entire switchback. The short, disordered segment in the human Ndc80 structure corresponds (in the predictions) to the segment of Saccharomyces cerevisiae Ndc80 containing the substitutions in a seven-alanine mutant shown to fail in the transition to end-on attachment in budding yeast [27] (figure 2a). The very close correspondence of predicted and experimental loop structures for human Ndc80 : Nuf2 give us confidence in the predictions for other species, including the budding yeasts. The success of predictions for the head-shaft transition and its interaction with Dam1 described below also supports the credibility of the AF2 models.

Interaction of the DASH/Dam1c subunit Dam1 with the Ndc80c
Genetic, biochemical and cross-linking data suggest that a segment of the extended C terminus of the Dam1 subunit binds with a region of Ndc80 : Nuf2 near the position at which the Ndc80 and Nuf2 polypeptide chains transition from their paired, CH domains into a helical coiled-coil [1,17,19] Figure 1. Schematic diagram of Ndc80c. Residue numbers for key junction points in the S. cerevisiae sequences shown. Solid ovals represent the CH domains of Ndc80 (red) and Nuf2 (orange) at one end and the RWD domains of Spc24 (blue) and Spc25 (green) at the other. The positions of the Ndc80c hinge, loop and the four-way junction are boxed and labelled, respectively. The locations of the three interactions, defined by cross-linking mass spectrometry [1], between Ndc80c and C-terminal extensions of DASH/Dam1c subunits are indicated. The interaction of Stu2 with the tetramerization domain is also indicated. Interaction A involves Dam1, interaction B, Ask1 and interactions C, Spc19 : Spc34.
royalsocietypublishing.org/journal/rsob Open Biol. 13: 220378 suggested that a fusion construct of part of the Dam1 C terminus (residues 252-305) with the Nuf2 N terminus, combined with a deletion of residues between the two conserved stretches (residues 271-289), might ensure high local concentration and increase the likelihood of obtaining informative crystals. We therefore made the inferred Ndc80 : Dam1-Nuf2  Figure 2. The Ndc80 loop. (a) Sequence alignment for the Ndc80 loop and adjacent residues for budding yeasts. Numbers above the sequences are for S. cerevisiae, residues 426-577. The loop residues are in red. The red bar above the alignment corresponds to the longest segment that can be deleted without lethality [27]. The black dots are residues mutated to alanine in the temperature-sensitive mutant ndc80-7A [27]. (b) Sequence alignment for the Ndc80 loop and adjacent residues for metazoans plus non-budding fungi. Numbers correspond to H. sapiens, residues 372-507. The loop residues are in red. (c) AF2 predictions of Ndc80 loop structures for two budding yeasts, human and fission yeast. The extended loop that doubles back between the two overlapped helices at either end is substantially longer in budding yeast, with the structural difference coinciding almost precisely with the longest non-lethal deletion (red bar, residues 490-510).   figure S4). A small difference in the short α helix (residues 258-267) does not substantially reorganize any of the side chain interactions. Dam1 binds Ndc80 : Nuf2 with an α-helical segment, which rests in a cleft between the coiled-coil and the globular head domains, and an extended segment, which runs along the N terminus of Nuf2, but also contacts Ndc80 (figure 3b and c). The residues connecting the two segments, which are not conserved (figure 3a), are predicted to be flexible by AF2; we omitted them in the construct we crystallized. Molecular details of the interactions are shown in figure 4. A salt bridge between Dam1 Arg299 and Ndc80 Asp295, both conserved across budding yeasts (electronic supplementary material, data S3 and S5), anchors the C-terminal extended segment of the Dam1 fragment (figure 4b). The Dam1 sequence in the structure also includes three serines (residues 257, 265 and 292) (figure 3a), the first and third conserved among budding yeasts and the second largely so, that are potential Ipl1 targets for regulating Ndc80c binding (electronic supplementary material, data S5) [20]. The structure suggests that phosphorylation of serines 257 and 265 would substantially weaken the contact (figure 4a). Ser257 is opposite conserved Glu276 of Ndc80 and its phosphorylation would lead to electrostatic repulsion; serine 292 is well exposed in the model, but the thermal parameter in that segment of polypeptide chain is relatively high (electronic supplementary material, figure S4b), and electrostatic repulsion of a phosphoserine side chain by nearby negative charge might in principle weaken the contact and make phosphorylation of the other two sites more likely.

Location of a flexible hinge in Ndc80c
Electron micrographs of intact, recombinant Ndc80c suggest the presence of a variable bend in the shaft between the Ndc80 : Nuf2 globular domains and the four-way junction with Spc24 : Spc25 [3,34]. Although the bend was initially proposed to coincide with the position of the loop, which was an  royalsocietypublishing.org/journal/rsob Open Biol. 13: 220378 evident discontinuity in the alignment of predicted Ndc80 and Nuf2 coiled-coil sequences, measurements of its average position in published electron micrographs suggested a location between the globular domains and the loop [35], probably coincident with preferential proteolytic cleavage points, detected in our early work on the yeast Ndc80c, C-terminal to Ndc80 lysines 380 and 409 (electronic supplementary material, data S3) and Nuf2 lysines 220 and leucine 237 (electronic supplementary material, data S4) [2]. AF2 predictions for Ndc80 : Nuf2 across this region show a bend at Ndc80 residue 412 and Nuf2 residue 245, with some variation in the bend angle and direction depending on the length of the Ndc80 : Nuf2 segment submitted for prediction. One of the cleavages is consistent with the predicted hinge position, a likely point of proteolytic sensitivity; the other is consistent with some instability of the exposed C terminus of the coiled-coil, allowing the protease(s) to cleave somewhat further toward the globular head. The position of the predicted hinge is also consistent with the observed, variable kink in electron micrographs [4]. Figure 5 incorporates this predicted hinge into an overall composite model of full-length Ndc80c.

Discussion
The two structures reported here are both examples of using AF2 predictions to generate hypotheses for constructs likely to yield informative structures. For example, to design the particular loop construct that yielded the structure shown in figure 2d, ambiguities of coiled-coil heptad matching would have required a series of alternative pairings of the two chains on both sides of the loop itself, and the pairing C-terminal to the Ndc80 switchback is in fact half a heptad shifted from the best guess we had made previously, extrapolating from the structure of the four-way junction. AF2 predictions of the intervening coiled-coil region suggest how shifts in register (from the simple heptad-matched prediction) restore the experimentally determined pairing at the connection with Spc24 : Spc25 [13]. The Dam1 segment docking would have been even harder to guess, as the successful design involved noticing a likely covalent linkage with Nuf2 (to ensure that the Dam1 fragment would be present in a crystal) and a deletion between the two ordered segments of Dam1. The structure also illustrates a modest limitation of the prediction, in the details of contacts between the short Dam1 α helix and the Ndc80 : Nuf2 head (electronic supplementary material, figure S4c).
The consistency of both the structure predictions and the final structures with genetic and biochemical data in the literature, as well as with each other, adds confidence to those predictions for which we do not yet have direct structural confirmation. For example, as illustrated in figure 2, the longest segment that could be deleted without lethality, in published experiments on the role of the loop in the transition to end-on microtubule attachment [27], coincides precisely with the region in Ndc80 of budding yeasts (S. cerevisiae and K. lactis, in figure 2) that appears in alignments as an 'insertion' into Ndc80 loops of metazoans and even of fission yeast (see electronic supplementary material, data S1, Ndc80 sequence for S. cerevisiae starting at residue 490). Similarly, the AF2 predictions place Dam1 residues phosphorylated by Ipl1 at interface positions consistent with the physiological consequences of their modification.
We have integrated the information from the structures reported here with previously described analyses [16,35] to generate the composite picture in figure 5. In addition to the switchback structure of the loop and the structurally defined interaction of the Dam1 segment with the Ndc80 : Nuf2 royalsocietypublishing.org/journal/rsob Open Biol. 13: 220378 globular domain, we have included additional contacts, based on inferences from biochemical and cross-linking mass spectrometry data in the literature [1], conservation of segments in the flexible extensions of DASH/Dam1c components (electronic supplementary material, data S5 and S6), and sites at which phosphorylation affects microtubule attachment or detachment. In addition to interactions with DASH/Dam1c contacts, the regions of Ndc80c in the model in figure 5 that rely on AF2 predictions rather than on experimentally determined structures are consistent with published cross-linking mass spectrometry results for Ndc80c from S. cerevisiae [36] and human [12] (electronic supplementary material, figure  S5) and with direct correlation analysis based on sequences from over 1000 fungal species [35]. DASH/Dam1c binding at end-on attached kinetochores relies on oligomerization into rings, interactions with the microtubule lattice, and direct contacts with several Ndc80 complexes that by themselves bind microtubules. The removal (by proteolysis with elastase) of the C-terminal 'tails' of Dam1, Duo1 and Ask1 disables microtubule association of DASH/Dam1c heterodecamers in vitro as well as its polymerization into microtubule-encircling rings [37]. Additional experiments indicate that the tails of Dam1 and Duo1, but not of Ask1, are the principal microtubule contacts [15,38]. The negatively charged, flexible, C-terminal extensions of tubulin subunits are not required for DASH/Dam1c ring formation [37]. We therefore do not expect the microtubule contacts to be merely electrostatic compensation by positively charged residues but instead specific site-binding on the microtubule surface.
For Dam1, two short stretches of residues conserved among budding yeast are plausible candidates for the presumed microtubule contacts (electronic supplementary material, data S5). One is at the C terminus of the Dam1 polypeptide chain (approximate residue range from 335 to 343); the other is in the middle of the extended segment between the structured, α-helical bundle at the core of the heterodecamer and the segment that binds the Ndc80 : Nuf2 globular head (approximate residue range from 210 to 226). The latter includes conserved Mps1 phosphorylation sites serines 218 and 221, which appear to promote end-on attachment [39]. When the Ndc80 : Nuf2 head is bound to a kinetochore microtubule, with a docked Dam1 segment, both candidate contacts will be close to the microtubule surface (figure 5). Duo1 and Dam1 emerge from the helical bundle of a DASH/Dam1c heterodecamer as a predicted, flexibly attached, approximately 30residue, α-helical coiled-coil (Dam1 residues 121-156, Duo1 residues 152-179, both segments moderately well conserved among budding yeast; electronic supplementary material, data S5 and S6), allowing Duo1 residues 180 to 247 to project toward the microtubule. Conserved residues near the Duo1 C terminus (electronic supplementary material, data S6) are therefore also candidate microtubule contacts.
Deletion of most of the Dam1 C-terminal extension (temperature-sensitive mutant Dam1-19, which has a stop codon at position 205) causes slow growth at permissive temperatures and collapsed spindles at the restrictive temperature [15,40]. The mutant lacks both the potential microtubule interactions described above and the Ndc80c contact analysed here, but the potential Duo1 microtubule interactions remain, as do the Ask1 and Spc19:Spc24 contacts with Ndc80c. These compensating interactions probably explain why the deletion is lethal only at 37°C. A similar interdependence may also account for the in vitro consequences of serine to aspartate mutations at positions 257, 265 and 292 [41]. Indeed, we should expect redundancy to characterize kinetochore assembly, in view of its critical role in assuring faithful segregation of genetic information during cell division.
Interactions of DASH/Dam1c with Ndc80, defined by mass spectrometry cross-linking [1], include not only the segments of Dam1 included in the crystal structure in figure 3 (interaction A) but also segments in the C-terminal extensions of Ask1 (interaction B) and of the Spc19 : Spc34 heterodimer that forms the protrusion domain of the DASH/Dam1c (interaction C). The cross-linked Ask1 segment centres on Ser200; phosphorylation of this residue by Ipl1 promotes dissociation [19]. Cdc28/Cdk1 phosphorylation of Ask1 at serine 250, just at the edge of the cross-linked region, promotes DASH/ Dam1c assembly on microtubules [42][43][44]. C-terminal parts of Spc19 : Spc34 together form the prominent protrusion that projects from the helical bundle at the core of the DASH/ Dam1c heterodecamer. As suggested in figure 5, the protrusion is in a position to associate closely with the Ndc80 : Nuf2 shaft between the loop and the tetramerization four-way junction. Cross-links between residues in Spc34 and Ndc80 detected by mass spectrometry span the entire extent of the Spc19 : Spc34 protrusion, centred on the Ipl1 phosphorylation site at Thr199 [1].
The Ndc80 loop participates in contacts essential for the transition from lateral to end-on kinetochore-microtubule attachment, in both yeast and human cells [27,45]. The six alanine substitutions in budding yeast Ndc80 that disrupt this transition [27] precisely span the disordered segment in the loop (figure 2). Because that segment is not essential for the structural integrity of Ndc80c, we infer that it probably binds some other kinetochore component or regulatory element. Although DASH/Dam1c is also essential for the end-on transition [27], the loop is not among the three contacts with Ndc80 defined by the published cross-linking experiments, discussed above, that motivated parts of the model in figure 5. The N-terminal extensions of Dam1 and Duo1 (60 and 57 residues, respectively), including an Ipl1 phosphorylation site at Dam1 serine 20 [20], project together from the helical bundle of the heterodecamer relatively close to the loop (see asterisk in figure 5) and hence might be loop contacts.
In fission yeast, the properties of temperature-sensitive mutants in S. pombe Ndc80 suggest that the loop has a role in recruiting Dis1/TOG and Alp7/TACC-Alp14/TOG, orthologues of Stu2 [46,47]. In human cells, their orthologue, chTOG, also interacts with Hec1 (human Ndc80), at a yet-tobe-identified site, and like Stu2, has an Aurora-B independent role in microtubule-attachment error correction [48]. Although the C-terminal segment of Stu2 binds the Ndc80c tetramerization domain, not the loop [21], we cannot rule out additional functional contacts, either direct or indirect [49]. Recent work presents evidence that the loop directs local clustering of human Ndc80c in vitro and shows that in cells, loop deletion or targeted mutation extends the spindle assembly checkpoint and delays anaphase [33]. Human cells lack DASH/Dam1c, however, and recruit the non-homologous Ska complex instead [50], and their centromeres bind bundles of at least 10 microtubules [51,52], rather than just one, probably with higher Ndc80c density than in yeast cells [53]. The correspondence of predicted loop structures from metazoans and fission yeast, whose centromeres bind several microtubules, suggests that the loop might have a role in coordinating interaction royalsocietypublishing.org/journal/rsob Open Biol. 13: 220378 with multiple microtubules. Thus, despite similar functional outcomes, not all the molecular interactions in loop-directed, end-on binding need to be homologous in metazoans and budding yeast.

AF2 predictions
For the AF predictions, we ran AF2, implemented either by SBgrid (version 2.1.1) or the O2 cluster at Harvard Medical School (version 2.2.2).

Ndc80c loop X-ray structure determination
To express the loop region of human or yeast Ndc80c, as a recombinant heterodimer, we cloned codon-optimized synthetic genes (IDT) coding for Ndc80 (residues 370-509 for human Ndc80, electronic supplementary material, data S1) with a TEV protease-cleavable 6-His tag and Nuf2 (residues 252-347 for human Ndc80; electronic supplementary material, data S2) into the respective multiple cloning sites of pETDuet-1. To facilitate formation of the Ndc80-Nuf2 heterodimer, we introduced four cysteine residues, two on the respective N and C termini of Ndc80, and another two on those of Nuf2. Proteins were co-expressed in Shuffle T7 E. coli (New England Biolabs). Low yield of the expressed yeast protein led us to focus on the human complex. We grew a total of 6 l of culture in 12 2 l baffled flasks at 37°C with shaking at 225 rpm to an O.D. of 0.8. Cells were then induced with 200 µM IPTG and incubated overnight at 18°C with shaking at 225 rpm. Cells were harvested by centrifugation and resuspended in 150 ml of a buffer containing 50 mM TRIS pH 8.0, 250 mM NaCl, 10 mM imidazole pH 8.0, 5 mM β-mercaptoethanol, 1 mM PMSF, 1 µg ml −1 pepstatin, 1 µg ml −1 aprotinin, 1 µg ml −1 leupeptin, 83 µg ml −1 lysozyme and 30 µg ml −1 DNase I. Cells were lysed by sonication, and the lysate was clarified by centrifugation and applied to Ni-NTA agarose equilibrated with buffer containing 20 mM TRIS pH 8.0, 100 mM NaCl, 10 mM imidazole pH 8.0 and 5 mM β-mercaptoethanol (equilibration buffer). Bound material was washed with equilibration buffer containing 20 mM imidazole pH 8.0 and 500 mM NaCl and then with equilibration buffer. Proteins were eluted with equilibration buffer containing 400 mM imidazole pH 8.0 and 50 mM NaCl. Eluates were treated overnight with TEV protease to remove the 6-His tag from the N terminus of Ndc80 and subjected to anion exchange chromatography using a HiTrap Q HP column (Cytiva), followed by size-exclusion chromatography using a HiLoad Superdex 200 26/60 column (Cytiva) equilibrated with 10 mM HEPES pH 7.5, 100 mM NaCl and 50 mM β-mercaptoethanol.
The human Ndc80c loop complex was concentrated to 25 mg ml −1 in an Amicon centrifugal concentrator in a buffer containing 10 mM HEPES pH 7.5, 100 mM NaCl, 2 mM tris(2-carboxyethyl)phosphine (TCEP) and 50 mM β-mercaptoethanol. The protein complex was crystallized by hanging drop vapour diffusion using 1 µl protein solution and 1 µl of a well solution containing 20% (w/v) polyethylene glycol 4000, 0.1 M TRIS pH 8.6 and 0.2 M magnesium chloride. Crystals were cryo-protected by a 3-5 min soak in well solution supplemented with 25% (v/v) glycerol and flash-frozen in liquid nitrogen.
The complex crystallized in space group C 2 (a = 49.9 Å, b = 72.3 Å, c = 80.1 Å). Data to a minimum Bragg spacing of 1.9 Å were recorded on the NE-CAT beamline 24-ID-C at the Advanced Photon Source (APS), and indexed, integrated, scaled and merged using the DIALS-AIMLESS pipeline in xia2 [54] (electronic supplementary material, table S1). The structure was determined by molecular replacement using Phaser [55] as implemented in CCP4 Cloud [56]. Search models consisted of four fragments of the AF2-generated structure. Model building was carried out in Coot [57], and refinement, in Phenix [58]. We used MolProbity [59] for structure validation. The final model includes the following residues (electronic supplementary material, table S2, and data S1 and S2): Ndc80 370-509 , Nuf2 252-347 , plus a cysteine residue at each end of each chain and one serine (left after proteolysis by TEV) at the N terminus of Ndc80. Model statistics are shown in the electronic supplementary material, table S1.

Ndc80 : Dam1-Nuf2 X-ray structure determination
We designed an Ndc80 : Dam1-Nuf2 fusion construct, with sequences from S. cerevisiae, based on the AF prediction, as described in the main text. To express this construct as recombinant protein, we modified a previously constructed pETDuet vector coding for truncated (dwarf) versions of Ndc80 and Nuf2 [13,21], by fusing segments from the C-terminal extension of Dam1 (residues 252-270 and 290-305) to the N terminus of Nuf2 (electronic supplementary material, data S3-S5). To express a Dam1-fused heterodimer, we co-transformed Rosetta2(DE3)pLysS with the modified construct and a pRSFDuet plasmid containing the genes for truncated dwarf versions of Spc24 and Spc25 [13,21]. We grew a total of 6 l of culture in 12 2 l baffled flasks at 37°C with shaking at 225 rpm to an O.D. of 0.8. Cells were then induced with 200 µM IPTG, followed by overnight incubation at 18°C with shaking at 225 rpm. The Dam1-fused, dwarf-Ndc80c was purified as described above for the recombinant loop region of human Ndc80c (see above), except that the buffer of the final gel filtration step contained 2 mM TCEP instead of β-mercaptoethanol.
The dwarf-Ndc80c with the Dam1 segment fused to the N terminus of Nuf2 was concentrated to 15 mg ml −1 in an Amicon centrifugal concentrator in a buffer containing 10 mM HEPES pH 7.5, 100 mM NaCl and 2 mM TCEP. The protein complex was crystallized by hanging drop vapour diffusion using 1 µl protein solution and 1 µl of a well solution containing 12% (v/v) 2-methyl-2,4-pentanediol (MPD) and 0.1 M ADA buffer pH 6.8. Crystals were cryo-protected by soaking for 3-5 min in well solution containing 25% (v/v) MPD followed by flash-freezing in liquid nitrogen.
Diffraction data from multiple crystals were recorded on the NE-CAT beamline 24-ID-E at the APS, each with a total range of 360°. Data were indexed, integrated, scaled and merged using the DIALS-aimless pipeline [54,60] as implemented in xia2 [54]. To achieve higher redundancy and thus get better estimates of the intensities of weak reflections, nine isomorphous datasets were scaled together and merged. Indexing of the diffraction pattern showed a primitive hexagonal Bravais lattice for the crystallized complex. Scaling and molecular replacement (see below) showed that the space group was P3 2 12 (a = b = 130.0 Å, c = 216.3 Å) (electronic supplementary material, table S1).
royalsocietypublishing.org/journal/rsob Open Biol. 13: 220378 The structure was determined by molecular replacement using Phaser [55] as implemented in Phenix [58]. The search model consisted of the Ndc80 and Nuf2 heads with a stretch of coiled-coil. We could not place any search models that contained Spc24 : Spc25, nor did we observe any density for Spc24: Spc25 in difference maps. From the placement of Ndc80 : Nuf2 it was evident that the crystal packing did not allow the presence of Spc24 : Spc25 as seen in the dwarf-Ndc80c structure [13,21]. Thus, during crystallization, Spc24 : Spc25 had dissociated from Ndc80 : Dam1-Nuf2, and there were two copies of a Ndc80 : Dam1-Nuf2 complex in the asymmetric unit.
To obtain structure factors for model building, phase improvement and structure refinement, we submitted unmerged data after integration with xia2 [54] to the STARA-NISO server [61]. After excluding frames with high-merging R values, we used the 'unmerged data' protocol for Bayesian estimation of structure amplitudes. We kept the default value of 1.20 for the local mean I/σ(I) as diffraction cut-off criterion, which resulted in diffraction limits at the principal axes of the ellipsoid fitted to the diffraction cut-off surface of 3.71 Å (principal axis 0.894 a* -0.447 b*), 3.71 Å ( principal axis b*) and 3.14 Å ( principal axis c*). Final merging statistics from the STARANISO processing are given in the electronic supplementary material, table S1. We used uniquify from CCP4 [60] to select 5% of the reflections for the calculation of free R factors and B-sharpened the observed amplitudes with phenix.remove_aniso (b_iso = 80.0).
To obtain the best possible, unbiased electron density for the Dam1 segment, we modelled and refined Ndc80 : Nuf2 to convergence before modelling the Dam1 segment. For this modelling, we manually adjusted the Ndc80 and Nuf2 models in O [62] and Coot [57], followed by refinement with phenix.refine [58], and density modification with RESOLVE [58]. We ran RESOLVE with twofold non-crystallographic symmetry (NCS) averaging, restricted to regions occupied by Ndc80 and Nuf2. We defined five NCS groups (Ndc80: residues 114-237, 238-626, 627-684; Nuf2: residues 13-136, 137-451) and calculated transformation matrices and masks based on the corresponding structures. Because the density corresponding to the Dam1 segment differed substantially between the two NCS copies (see below), this region was excluded from NCS averaging. We also outlined the Dam1 segment density by placing dummy atoms, which we then used to exclude this region from the solvent mask in RESOLVE. We input a solvent content fraction of 0.72. We also calculated feature-enhanced maps with phenix.fem [63]. An electron density map from the last iteration of model building, refinement and phase improvement before modelling the Dam1 segment and a final map are shown in the electronic supplementary material, figure S3.
We observed that density for the Dam1 segment fused to the second copy of the Ndc80 : Nuf2 head in the asymmetric unit was much weaker than the first, and its appearance was of insufficient clarity to build a molecular model. Superposition of our Ndc80:Dam-Nuf2 structure from NCS position 1 onto Ndc80 : Nuf2 of NCS position 2 showed that a Dam1 segment bound as observed at position 1 would clash at position 2 with its crystallographic symmetry mate. Thus, the crystal packing prevented uniform ordering of the Dam1 segment at position 2.

Model of the yeast kinetochore-microtubule interface
We modelled a 13-protofilament MT based on the cryoEM structure of a yeast tubulin dimer polymerized with GTP in vitro (PDB-ID 5W3F) [65]. As published, we used lattice parameters for the MT tube with a helical rise of 83.3 Å and a rotation of 0.43°between dimers within a protofilament, and a helical rise of 9.65 Å and a rotation of −27.6°between protofilaments. The majority of kinetochore MTs in tomograms recorded from budding yeast were observed in in 'ram's horn' geometry [66], and we modelled the flaring of protofilaments at the MT plus end by matching the average curvature of the tomograms with the curvature observed in various structures of bent tubulin protofilaments (PDB-IDs 3J6H, 3RYH, 4HNA, 4FFB, 6MZG).
For the DASH/Dam1c, we manually placed one heterodecamer of the S. cerevisiae full-length AF2 prediction, including only the well-structured regions of the core complex with high confidence scores (Ask1 2-69 , Dad1 14-73 , Dad2 2-85, 116-133 , Dad3 6-94 , Dad4 2-72 , Dam1 54-162 , Duo1 61-180 , Hsk3 2-69 , Spc19 2-106 , Spc34 2-118,157-264 ), into the cryoEM map of a DASH/Dam1c ring assembled around a MT [68] (note that the deposited map, EMD-5254, has the wrong hand and needs to be inverted), followed by rigid-body fitting with phenix.real_space_refine [69]. The full-length complex was then placed on the fitted core complex and 17-fold rotationally expanded around the MT axis. The whole DASH/Dam1c ring was then rotated around and translated along the MT axis such that interaction C [1,19] between the protrusion domain of one DASH/Dam1c heterodecamer and the MTbound Ndc80c could be established. This juxtaposed Thr199 of Spc34, the residue that is phosphorylated by Ipl1 and regulates interaction C [19], and residue 583 of Ndc80, the position royalsocietypublishing.org/journal/rsob Open Biol. 13: 220378 of a five amino acid mutation (insertion) that abrogates interaction C [1]. It also allows for establishment of the interaction between Spc19 residues 128-165 and Nuf2 residues 399-429 [70]. The C termini of Spc19 and Sp34 form a coiled-coil at the tip of the DASH/Dam1c protrusion domain, which was not observed in the cryoEM reconstruction of the C. thermophilum DASH/Dam1c complex (because of its flexible attachment) but was inferred from sequence analysis [16]; AF2 also predicts it now. We used HADDOCK 2.4 [71] to dock the C-terminal Spc19 : Spc34 coiled-coil onto Ndc80 : Nuf2 and re-modelled the residues that connect it to the protrusion domain with RosettaRemodel [67]. The model of the DASH/Dam1c ring shown in figure 5 contains the following residues for each subunit: Other data are provided in the electronic supplementary material [72].